GCD of 279, 954, 139, 644 Calculator

Given Input numbers are 279, 954, 139, 644

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 279, 954, 139, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 954, 139, 644 is 1.

Therefore, GCD of numbers 279, 954, 139, 644 is 1

Given Input Data is 279, 954, 139, 644

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 139 is 139

Prime Factorization of 644 is 2 x 2 x 7 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(279, 954) = 29574

GCD(279, 954) = ( 279 x 954 ) / 29574

GCD(279, 954) = 266166 / 29574

GCD(279, 954) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 139

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(9, 139) = 1251

GCD(9, 139) = ( 9 x 139 ) / 1251

GCD(9, 139) = 1251 / 1251

GCD(9, 139) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 279, 954, 139, 644 is 1

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1. What is the GCD of 279, 954, 139, 644?

GCD of 279, 954, 139, 644 is 1

2. Where do I get the detailed procedure to find GCD of 279, 954, 139, 644?

You can find a detailed procedure to find GCD of 279, 954, 139, 644 on our page.

3. How to find GCD of 279, 954, 139, 644 on a calculator?

You can find the GCD of 279, 954, 139, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.